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2 years ago

Ryan and Scott are each studying a square pyramid.

Mathematics

2 answers:

PIT_PIT [208]2 years ago

6 0

Answer:

Step-by-step explanation:

dolphi86 [110]2 years ago

3 0

Surface Area = [Base Area] + 12 × Perimeter × [Slant Length]

Ryan square pyramid
[Base Area]=10*10=100 feet²
Perimeter=10+10+10+10=40 feet
[Slant Length]=12 feet
Surface Area=100+12*40*12=5860 feet²
Scott square pyramid
[Base Area]=12*12=144 feet²
Perimeter=12+12+12+12=48 feet
[Slant Length]=10 feet
Surface Area=144+12*48*10=5904 feet²

the answer is D.Scott’s pyramid has a greater surface area.

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Find the partial derivatives indicated Assume the variables are restricted to a domain on which the function is defined. z=x8+3y

ahrayia [7]

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the partial derivatives indicated Assume the variables are restricted to a domain on which the function is defined. z= $x^{8}$ + $3^{y}$ + $x^{y}$

a) Zx b) Zy

In differentiation, if y = axⁿ, y' = $nax^{n-1} \ where \ n\ is\ a\ constant$ . Applying this in question;

Given the function z = x⁸+ $3^{y}$ + $x^{y}$

$Z_x = \frac{\delta z}{\delta x} = 8x^{7} + 0 + yx^{y-1} \\\frac{\delta z}{\delta x} = 8x^{7} + yx^{y-1} \\$

Note that y is treated as a constant since we are to differentiate only with respect to x.

For Zy;

$Z_y = \frac{\delta z}{\delta y} =0+ 3^{y} ln3 + x^{y}lnx \\\frac{\delta z}{\delta y} = 3^{y} ln3 + x^{y}lnx } \\$

Here x is treated as a constant and differential of a constant is zero.

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2 years ago

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si

dolphi86 [110]

In geometry, it is always advantageous to draw a diagram from the given information in order to visualize the problem in the context of the given.

A figure has been drawn to define the vertices and intersections.

The given lengths are also noted.

From the properties of a kite, the diagonals intersect at right angles, resulting in four right triangles.

Since we know two of the sides of each of the right triangles, we can calculate their heights which in turn are the segments which make up the other diagonal.

From triangle A F G, we use Pythagoras theorem to find

h1=A F=sqrt(20*20-12*12)=sqrt(256)=16

From triangle DFG, we use Pythagoras theorem to find

h2=DF=sqrt(13*13-12*12)=sqrt(25) = 5

So the length of the other diagonal equals 16+5=21 cm

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2 years ago

Haley and Nicole stopped at the school bookstore for extra supplies. Haley bought 8 pencils and 3 folders and spent $10.39. Nico

Harlamova29_29 [7]

I believe it is 12 cents

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2 years ago

In a survey of men aged 20-29 in a certain country, the mean height is 73.4 inches with a standard deviation of 2.7 inches. Find

satela [25.4K]

Answer:

The minimum height in the top 15% of heights is 76.2 inches.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 73.4, \sigma = 2.7$